Pith Number

pith:PRA4R3G2

pith:2013:PRA4R3G2MF3222EH6L5FPUZJZU

not attested not anchored not stored refs pending

Ergodic Multiplier Properties

Adi Gl\"ucksam

arxiv:1306.3669 v3 · 2013-06-16 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRA4R3G2MF3222EH6L5FPUZJZU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:53:15.328028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c41c8ecda6177ad6887f2fa57d329cd3036a097aa4ddfca06c005c5604c261d

Aliases

arxiv: 1306.3669 · arxiv_version: 1306.3669v3 · doi: 10.48550/arxiv.1306.3669 · pith_short_12: PRA4R3G2MF32 · pith_short_16: PRA4R3G2MF3222EH · pith_short_8: PRA4R3G2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PRA4R3G2MF3222EH6L5FPUZJZU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7c41c8ecda6177ad6887f2fa57d329cd3036a097aa4ddfca06c005c5604c261d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "671576ddf86a1329b072e8cd1aa80efa6e99a00ed509619d90af878d88d1edcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-16T15:26:23Z",
    "title_canon_sha256": "d3334f1e02b4330126ec2d3c2cd75c6456a47cb4b53292f9767c45abb4e9c651"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3669",
    "kind": "arxiv",
    "version": 3
  }
}